scholarly journals DISSIPATIVE 2D ELECTRON ON A TORUS IN EXTERNAL MAGNETIC FIELD: TRANSPORT PROPERTIES AND MAGNETIC TRANSLATIONS

1995 ◽  
Vol 09 (24) ◽  
pp. 3229-3240 ◽  
Author(s):  
G. CRISTOFANO ◽  
D. GIULIANO ◽  
G. MAIELLA ◽  
L. VALENTE
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Transport Properties ◽  
Ground State ◽  
Large Time ◽  
Transverse Magnetic ◽  
The Novel ◽  
Translation Operators ◽  
Magnetic Translation ◽  
Electron Ground State

The effect of dissipation on the electron ground state wave function on a torus in the presence of an external transverse magnetic field is analyzed on large time scales [Formula: see text]. Its extension to the multiparticle center of the mass wave function is also given. The novel transport properties of the system are then studied by applying Laughlin gauge argument with the use of the magnetic translation operators.

scholarly journals 2D ELECTRON IN AN EXTERNAL MAGNETIC FIELD IN THE PRESENCE OF DISSIPATION

1995 ◽  
Vol 09 (06) ◽  
pp. 707-718 ◽  
Author(s):  
G. CRISTOFANO ◽  
D. GIULIANO ◽  
G. MAIELLA ◽  
L. VALENTE
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Coherent State ◽  
Transport Properties ◽  
Time Scales ◽  
Ground State ◽  
Large Time ◽  
Electron Ground State

A coherent state approach is presented to analyze the behavior of a 2D electron subject to an external magnetic field, normal to the plane, in the presence of dissipation. The phenomenon of the shrinking of the Gaussian (localization), describing the electron ground state, takes place on large time scales. Its relation with the transport properties of such a system is then analyzed.

Article

1998 ◽  
Vol 76 (7) ◽  
pp. 507-513
Author(s):  
O Bolina ◽  
J R Parreira
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Ground State ◽  
Linear Chain ◽  
Critical Value ◽  
Transverse Magnetic ◽  
The State ◽  
Xy Model ◽  
The Magnetic Field

We show that the ground state of the xy model (ferromagnetic orantiferromagnetic) in a transverse magnetic field h --- for any spin value, in any dimension --- is the state with all spins aligned antiparallel to the field when h is greater than some critical value hc. In particular, for the spin-1/2 linear chain, we study the behavior of correlations as functions of the magnetic field. PACS Nos.: 75.10Jm and 64.60.Cm

ENTANGLEMENT MODULATION IN A SPIN CHAIN BY A LOCAL IMPURITY

2008 ◽  
Vol 06 (supp01) ◽  
pp. 567-573 ◽  
Author(s):  
TONY J. G. APOLLARO ◽  
ALESSANDRO CUCCOLI ◽  
ANDREA FUBINI ◽  
FRANCESCO PLASTINA ◽  
PAOLA VERRUCCHI
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Spin Chain ◽  
Nearest Neighbor ◽  
Magnetic Impurity ◽  
Transverse Field ◽  
Transverse Magnetic ◽  
Spatial Modulation ◽  
Spin Pairs ◽  
The Magnetic Field

We study the ground-state entanglement properties of an XX spin 1/2 chain in transverse field, in its quasi-long-ranged ordered phase, with a magnetic impurity, represented in terms of an additional transverse magnetic field located at one precise site. For such a system, we show that a control of the ground state entanglement can be achieved by acting on the impurity field. To demonstrate this possibility, we evaluate exactly the nearest neighbor and next-nearest neighbor concurrence in the presence of the impurity. It turns out that either an enhancement or a quenching of entanglement between selected spin pairs can be obtained by acting on the intensity of the impurity. For specific values of the magnetic field a spatial modulation of concurrence along the chain is also obtained.

scholarly journals Фотонное эхо на локализованных экситонах в полупроводниковых наноструктурах

2018 ◽  
Vol 60 (8) ◽  
pp. 1587
Author(s):  
С.В. Полтавцев ◽  
И.А. Югова ◽  
И.А. Акимов ◽  
Д.Р. Яковлев ◽  
M. Bayer
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Zeeman Splitting ◽  
Photon Echo ◽  
Transverse Magnetic ◽  
Resonant Excitation ◽  
Heterodyne Detection ◽  
High Resolution Spectroscopy ◽  
Echo Signal ◽  
Pulsed Excitation

AbstractAn overview on photon echo spectroscopy under resonant excitation of the exciton complexes in semiconductor nanostructures is presented. The use of four-wave-mixing technique with the pulsed excitation and heterodyne detection allowed us to measure the coherent response of the system with the picosecond time resolution. It is shown that, for resonant selective pulsed excitation of the localized exciton complexes, the coherent signal is represented by the photon echoes due to the inhomogeneous broadening of the optical transitions. In case of resonant excitation of the trions or donor-bound excitons, the Zeeman splitting of the resident electron ground state levels under the applied transverse magnetic field results in quantum beats of photon echo amplitude at the Larmor precession frequency. Application of magnetic field makes it possible to transfer coherently the optical excitation into the spin ensemble of the resident electrons and to observe a long-lived photon echo signal. The described technique can be used as a high-resolution spectroscopy of the energy splittings in the ground state of the system. Next, we consider the Rabi oscillations and their damping under excitation with intensive optical pulses for the excitons complexes with a different degree of localization. It is shown that damping of the echo signal with increase of the excitation pulse intensity is strongly manifested for excitons, while on trions and donor-bound excitons this effect is substantially weaker.

scholarly journals CHARGED SPIN-1/2 PARTICLE IN AN ARBITRARY MAGNETIC FIELD IN TWO SPATIAL DIMENSIONS: A SUPERSYMMETRIC QUANTUM MECHANICAL SYSTEM

2000 ◽  
Vol 15 (34) ◽  
pp. 2105-2111 ◽  
Author(s):  
T. E. CLARK ◽  
S. T. LOVE ◽  
S. R. NOWLING
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Mechanical System ◽  
Ground State ◽  
Ground State Wave Function ◽  
Quantum Mechanical ◽  
Quantum Mechanical System ◽  
Zero Energy ◽  
State Wave ◽  
Spatial Dimensions

It is shown that the 2×2 matrix Hamiltonian describing the dynamics of a charged spin-1/2 particle with g-factor 2 moving in an arbitrary, spatially dependent, magnetic field in two spatial dimensions can be written as the anticommutator of a nilpotent operator and its Hermitian conjugate. Consequently, the Hamiltonians for the two different spin projections form partners of a supersymmetric quantum mechanical system. The resulting supersymmetry algebra can then be exploited to explicitly construct the exact zero energy ground state wave function for the system. Modulo this ground state, the remainder of the eigenstates and eigenvalues of the two partner Hamiltonians form positive energy degenerate pairs. We also construct the spatially asymptotic form of the magnetic field which produces a finite magnetic flux and associated zero energy normalizable ground state wave function.

N-electron ground state energies of a quantum dot in magnetic field

1993 ◽  
Vol 71 (4) ◽  
pp. 613-616 ◽  
Author(s):  
R. C. Ashoori ◽  
H. L. Stormer ◽  
J. S. Weiner ◽  
L. N. Pfeiffer ◽  
K. W. Baldwin ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Quantum Dot ◽  
Ground State ◽  
Ground State Energies ◽  
Electron Ground State
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